Course Detail
Course Description
Course | Code | Semester | T+P (Hour) | Credit | ECTS |
---|---|---|---|---|---|
CALCULUS I | - | Fall Semester | 4+0 | 4 | 6 |
Course Program |
Prerequisites Courses | |
Recommended Elective Courses |
Language of Course | English |
Course Level | First Cycle (Bachelor's Degree) |
Course Type | Required |
Course Coordinator | Assist.Prof. Özge BİÇER ÖDEMİŞ |
Name of Lecturer(s) | Prof.Dr. Gülçin Mihriye MUSLU |
Assistant(s) | |
Aim | To teach fundamental math contents, methods and techniques, and its applications for the study of engineering. To provide supports on studies and researches in the area of engineering. |
Course Content | This course contains; Functions,Functions,Limits and Continuity,Limits and Continuity,Derivatives,Derivatives,Applications of Derivatives,Applications of Derivatives,Integration,Integration,Applications of Definite Integrals,Applications of Definite Integrals,Transcendental Functions,Improper Integrals. |
Dersin Öğrenme Kazanımları | Teaching Methods | Assessment Methods |
1. Interpret a function of one variable and its graph to solve the limit graphically, numerically and algebraically | 12, 14, 6, 9 | A, E |
2. Apply the notions of continuity and differentiability to algebraic and transcendental functions. | 12, 14, 6, 9 | A, E |
3. Compute derivatives of functions by using rules and carry out them in applications such as computing rates of change, finding extreme values, concavity and graphing. | 12, 14, 6, 9 | A, E |
4. Apply Fundamental Theorem of Calculus and integration techniques to compute proper integrals. | 12, 14, 6, 9 | A, E |
5. Use integration to compute area between curves and volume of a solid. | 12, 14, 6, 9 | A, E |
6. Calculate and compare the concept of proper and improper integrals. | 12, 14, 6, 9 | A, E |
Teaching Methods: | 12: Problem Solving Method, 14: Self Study Method, 6: Experiential Learning, 9: Lecture Method |
Assessment Methods: | A: Traditional Written Exam, E: Homework |
Course Outline
Order | Subjects | Preliminary Work |
---|---|---|
1 | Functions | Book chapter 1.1, 1.2, 1.4, 1.5 |
2 | Functions | Book chapter 1.3, 1.6, 11.1,11.2 |
3 | Limits and Continuity | Book chapter 2.1, 2.2, 2.3, 2.4 |
4 | Limits and Continuity | Book chapter 2.5, 2.6 |
5 | Derivatives | Book chapter 3.2, 3.3, 3.4 |
6 | Derivatives | Book chapter 3.5, 3.6, 3.7, 11.2 |
7 | Applications of Derivatives | Book chapter 4.1, 4.2, 4.3, 4.4 |
8 | Applications of Derivatives | Book chapter 3.11, 4.4, 4.5 |
9 | Integration | Book chapter 5.1, 5.2, 5.3, 5.4 |
10 | Integration | Book chapter 5.5, 8.1, 8.2, 8.3, 8.4, 8.5 |
11 | Applications of Definite Integrals | Book chapter 5.6, 6.1 |
12 | Applications of Definite Integrals | Book chapter 6.2, 6.3 |
13 | Transcendental Functions | Book chapter 7.1, 7.2 |
14 | Improper Integrals | Book chapter 8.8 |
Resources |
Thomas’ Calculus, 12th ed., G. B. Thomas, Jr. and M. D. Weir and J. Hass, Addison-Wesley |
Course Contribution to Program Qualifications
Course Contribution to Program Qualifications | |||||||
No | Program Qualification | Contribution Level | |||||
1 | 2 | 3 | 4 | 5 | |||
1 | Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledge in these areas in the solution of complex engineering problems. | X | |||||
2 | Ability to formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose. | X | |||||
3 | Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose. | X | |||||
4 | Ability to select and use modern techniques and tools needed for analyzing and solving complex problems encountered in engineering practice; ability to employ information technologies effectively. | ||||||
5 | Ability to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or discipline specific research questions. | ||||||
6 | Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually. | ||||||
7 | Ability to communicate effectively, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, and give and receive clear and intelligible instructions. | ||||||
8 | Awareness of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself. | ||||||
9 | Knowledge on behavior according ethical principles, professional and ethical responsibility and standards used in engineering practices. | ||||||
10 | Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development. | ||||||
11 | Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions. |
Assessment Methods
Contribution Level | Absolute Evaluation | |
Rate of Midterm Exam to Success | 30 | |
Rate of Final Exam to Success | 70 | |
Total | 100 |
ECTS / Workload Table | ||||||
Activities | Number of | Duration(Hour) | Total Workload(Hour) | |||
Course Hours | 14 | 4 | 56 | |||
Guided Problem Solving | 14 | 2 | 28 | |||
Resolution of Homework Problems and Submission as a Report | 0 | 0 | 0 | |||
Term Project | 0 | 0 | 0 | |||
Presentation of Project / Seminar | 0 | 0 | 0 | |||
Quiz | 0 | 0 | 0 | |||
Midterm Exam | 14 | 3 | 42 | |||
General Exam | 14 | 4 | 56 | |||
Performance Task, Maintenance Plan | 0 | 0 | 0 | |||
Total Workload(Hour) | 182 | |||||
Dersin AKTS Kredisi = Toplam İş Yükü (Saat)/30*=(182/30) | 6 | |||||
ECTS of the course: 30 hours of work is counted as 1 ECTS credit. |
Detail Informations of the Course
Course Description
Course | Code | Semester | T+P (Hour) | Credit | ECTS |
---|---|---|---|---|---|
CALCULUS I | - | Fall Semester | 4+0 | 4 | 6 |
Course Program |
Prerequisites Courses | |
Recommended Elective Courses |
Language of Course | English |
Course Level | First Cycle (Bachelor's Degree) |
Course Type | Required |
Course Coordinator | Assist.Prof. Özge BİÇER ÖDEMİŞ |
Name of Lecturer(s) | Prof.Dr. Gülçin Mihriye MUSLU |
Assistant(s) | |
Aim | To teach fundamental math contents, methods and techniques, and its applications for the study of engineering. To provide supports on studies and researches in the area of engineering. |
Course Content | This course contains; Functions,Functions,Limits and Continuity,Limits and Continuity,Derivatives,Derivatives,Applications of Derivatives,Applications of Derivatives,Integration,Integration,Applications of Definite Integrals,Applications of Definite Integrals,Transcendental Functions,Improper Integrals. |
Dersin Öğrenme Kazanımları | Teaching Methods | Assessment Methods |
1. Interpret a function of one variable and its graph to solve the limit graphically, numerically and algebraically | 12, 14, 6, 9 | A, E |
2. Apply the notions of continuity and differentiability to algebraic and transcendental functions. | 12, 14, 6, 9 | A, E |
3. Compute derivatives of functions by using rules and carry out them in applications such as computing rates of change, finding extreme values, concavity and graphing. | 12, 14, 6, 9 | A, E |
4. Apply Fundamental Theorem of Calculus and integration techniques to compute proper integrals. | 12, 14, 6, 9 | A, E |
5. Use integration to compute area between curves and volume of a solid. | 12, 14, 6, 9 | A, E |
6. Calculate and compare the concept of proper and improper integrals. | 12, 14, 6, 9 | A, E |
Teaching Methods: | 12: Problem Solving Method, 14: Self Study Method, 6: Experiential Learning, 9: Lecture Method |
Assessment Methods: | A: Traditional Written Exam, E: Homework |
Course Outline
Order | Subjects | Preliminary Work |
---|---|---|
1 | Functions | Book chapter 1.1, 1.2, 1.4, 1.5 |
2 | Functions | Book chapter 1.3, 1.6, 11.1,11.2 |
3 | Limits and Continuity | Book chapter 2.1, 2.2, 2.3, 2.4 |
4 | Limits and Continuity | Book chapter 2.5, 2.6 |
5 | Derivatives | Book chapter 3.2, 3.3, 3.4 |
6 | Derivatives | Book chapter 3.5, 3.6, 3.7, 11.2 |
7 | Applications of Derivatives | Book chapter 4.1, 4.2, 4.3, 4.4 |
8 | Applications of Derivatives | Book chapter 3.11, 4.4, 4.5 |
9 | Integration | Book chapter 5.1, 5.2, 5.3, 5.4 |
10 | Integration | Book chapter 5.5, 8.1, 8.2, 8.3, 8.4, 8.5 |
11 | Applications of Definite Integrals | Book chapter 5.6, 6.1 |
12 | Applications of Definite Integrals | Book chapter 6.2, 6.3 |
13 | Transcendental Functions | Book chapter 7.1, 7.2 |
14 | Improper Integrals | Book chapter 8.8 |
Resources |
Thomas’ Calculus, 12th ed., G. B. Thomas, Jr. and M. D. Weir and J. Hass, Addison-Wesley |
Course Contribution to Program Qualifications
Course Contribution to Program Qualifications | |||||||
No | Program Qualification | Contribution Level | |||||
1 | 2 | 3 | 4 | 5 | |||
1 | Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledge in these areas in the solution of complex engineering problems. | X | |||||
2 | Ability to formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose. | X | |||||
3 | Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose. | X | |||||
4 | Ability to select and use modern techniques and tools needed for analyzing and solving complex problems encountered in engineering practice; ability to employ information technologies effectively. | ||||||
5 | Ability to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or discipline specific research questions. | ||||||
6 | Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually. | ||||||
7 | Ability to communicate effectively, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, and give and receive clear and intelligible instructions. | ||||||
8 | Awareness of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself. | ||||||
9 | Knowledge on behavior according ethical principles, professional and ethical responsibility and standards used in engineering practices. | ||||||
10 | Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development. | ||||||
11 | Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions. |
Assessment Methods
Contribution Level | Absolute Evaluation | |
Rate of Midterm Exam to Success | 30 | |
Rate of Final Exam to Success | 70 | |
Total | 100 |